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2 years ago

Find any restrictions on x

Mathematics

1 answer:

olchik [2.2K]2 years ago

6 0

The denominator of any fraction cannot be equal to zero. This is because if the denominator is equal to zero, the, the fraction itself would be "undefined".

Applying this to the above mentioned problem, we will find two denominators including the term "x". These two denominators cannot be equal to zero.

First fraction:
1/x ..................> x cannot be equal to zero

Second fraction:
1/(x^2 - 3x -4) = 1/(x - 4)(x + 1)
The denomination will be equal to zero if x = 4 or x = -1
........> x cannot be equal to 4 or -1

Based on this, the restrictions on x are as follows:
x cannot be equal to 0,4 or -1

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Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

A company sells tents in two styles, shown below. The sides and floor of each tent are made of nylon. Which tent requires less n

BartSMP [9]

Answer: Tunnel tent.

Step-by-step explanation:

The tent which has the minimum area requires less nylon to manufacture,

Since, the area of Pup tent = Area of 3 square each having side 8 ft + Area of 2 equilateral triangle having side 8 ft

= $3 \times ( 8^2 ) + 2\times \frac{64\sqrt{ 3} }{4}$

= $192+ 2\times \frac{64\sqrt{ 3} }{4}$

= $192+ 32\sqrt{ 3}$

= $247.425625842\approx 247.43\text { square ft}$

Now, the area of tunnel tent = Area of square having side 8 ft + total Area of half cylinder having radius 4 ft and height 8 ft

= $8^2 + \frac{1}{2} [ 2\pi\times 4(4+8)]$

= $64 + \pi\times 48$

= $64 + 3.14\times 48$

= $214.72\text { square ft}$

Since, 214.72 < 247.43

Thus, Tunnel tent requires less nylon to manufacture.

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3 years ago

A group of four boys (Alex, Bryan, Chris, and David) and five girls (Megan, Nancy, Olivia, Pauline, and Rebecc?

aliina [53]

Answer:

a) P = 362880 ways

b) P = 2880 ways

Step-by-step explanation:

a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions

We have a permutation of 9 elements

P = 9!

P = 9*8*7*6*5*4*3*2*1

P = 362880 ways

b) Boys must seat together, we have two groups of people

4 boys they can seat in 4! different ways

P₁ = 4!

P₁ = 4*3*2*1

P₁ = 24

And girls can seat in 5! dfferent ways

P₂ = 5!

P₂ = 5*4*3*2*1

P₂ = 120

To get total ways in the above mentioned condition, we have to multiply P₁*P₂

P = 24*120

P = 2880 ways

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2 years ago

One day, Pam drove 102 miles in 1 1/2 hours. Jake drove 54 miles in 3/4 hour. Who drove at a faster rate?

8090 [49]

Answer:

make the answwer a decimal

Step-by-step explanation:

the fraction need to be a decimal

8 0

2 years ago

Richie and bethany play basketball and practice shooting free throws after school. During one practice session, Richie attempted

mamaluj [8]

Answer:

<em>Bethany did not do better than Richie because her average score was less than his.</em>

Step-by-step explanation:

<u>Average Value</u>

The average or mean value of m successes out of n tries is given by:

$\displaystyle \bar x=\frac{m}{n}$

During a practice session playing basketball, Richie made m=12 free throws from n=15 attempts. His average score was:

$\displaystyle \bar x=\frac{12}{15}=0.8$

Bethany made 8 free throws for every 3 that she missed, this means she made 8 out of 11 attempts. Her average score was:

$\displaystyle \bar x=\frac{8}{11}=0.72$

Bethany did not do better than Richie because her average score was less than his.

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2 years ago